Коливання та хвилі в пружних тілах, які здійснюють обертовий рух: Автореф. дис… канд. фіз.-мат. наук / І.А. Улітко, Київ. ун-т ім. Т.Шевченка. — К.,

Ee?anueeee oi?aa?neoao ?iai? Oa?ana Oaa/aiea

OAeE 539.3

OE?OEI ?AI? AIAe??EIAE*

EIEEAAIIss OA OAEE? A I?OAEIEO O?EAO, ssE? CAe?ENITHTHOUe IAA?OIAEE ?OO

01.02.04 — iaoai?ea aeaoi?i?aiiai oaa?aeiai o?ea

AAOI?AOA?AO

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa o?ceei-

iaoaiaoe/ieo iaoe

Ee?a 1999

Aeena?oaoe??th ? ?oeiien.

?iaioa aeeiiaia a Ee?anueeiio oi?aa?neoao? ?iai? Oa?ana Oaa/aiea

Iaoeiaee ea??aiee aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani? Nae?cia
?ai? Oeiio?eiae/, ?inoeooo a?ae?iiaoai?ee IAI Oe?a?ie, caa?aeoaa/
a?aeae?eo a?ae?iaeeiai?ee oaeeueiaeo i?ioean?a.

Io?oe?ei? iiiiaioe aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani? Ea?iaooia
Aaneeue Aaa?eeiae/, ?inoeooo iaoai?ee ?i. N.I.Oeiioaiea IAI Oe?a?ie,
caa?aeoaa/ a?aeae?eo oa?iii?oaeiino?.

eaiaeeaeao o?ceei-iaoaiaoe/ieo iaoe Ie?eiee Aaea??e Ieeeoi?iae/,
?inoeooo a?ae?iiaoai?ee IAI Oe?a?ie, noa?oee iaoeiaee ni?a?ia?oiee
a?aeae?eo a?ae?iaeeiai?/ii? aeonoeee.

I?ia?aeia onoaiiaa ?inoeooo i?eeeaaeieo i?iaeai iaoai?ee ? iaoaiaoeee
?i. ss.N.I?aeno?eaa/a IAI Oe?a?ie

Caoeno a?aeaoaeaoueny “ 16 ” /a?aiy 1999 ?. i “ 15 ”
aiaeei? ia can?aeaii? niaoe?ae?ciaaii? a/aii? ?aaee E 26.001.21 i?e
Ee?anueeiio oi?aa?neoao? ?iai? Oa?ana Oaa/aiea ca aae?anith: 252 127 i.
Ee?a, i?iniaeo Aeooeiaa, 2, ei?ion 7, iaoai?ei-iaoaiaoe/iee oaeoeueoao.

C aeena?oaoe??th iiaeia iciaeiieoeny a a?ae?ioaoe? Ee?anueeiai
oi?aa?neoaoo ?iai? Oa?ana Oaa/aiea

Aaoi?aoa?ao ?ic?neaii “ 14 ” o?aaiy 1999 ?.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee O.TH. Eaie/

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeena?oaoe?eia ?iaioa i?enay/aia aea/aiith caeiiii??iinoae iioe?aiiy
oaeeue ? noaoe?iia?ieo eieeaaiue a i?oaeieo oaa?aeeo o?eao, ye?
ciaoiaeyoueny a iaa?oiaiio ?on?, a oaeiae aeine?aeaeaiith, ia iniia?
aiae?co oeeo caeiiii??iinoae, noaoe?iia?ieo ?aaeei?a eieeaaiue
?aciiaoi??a oaeeueiaeo a??ineii?a.

Aeooaeuei?noue oaie aeena?oaoe??. I?iaeaia aeeiai?/iiai aeaoi?ioaaiiy
i?oaeieo o?e, ye? cae?eniththoue ?oo o i?inoi?? aei iaaeaaiueiai /ano ia
aoea i?aaeiaoii nenoaiaoe/ieo aeine?aeaeaiue a iaoai?oe?. Oea
iiynith?oueny oei, ui iia? caaea/? iaoai?ee oeueiai eeano ? aeineoue
neeaaeieie. C ?ioiai aieo – ia aoei i?aeoe/ii? iio?aae o aeei?enoaii?
?ica’yce?a oaeeo caaea/. Iieiaeaiiy nooo?ai ci?ieeiny a inoaii? aeaa-o?e
aeanyoee?ooy a ca’yceo c ?ic?iaeith ? ai?iaaaeaeaiiyi iaa?aaoe?eieo
i?eno?i?a iiaiai oeio – oae caaieo oaeeueiaeo a??ineii?a. A iniia?
ooioe?thaaiiy oeeo i?eno?i?a eaaeaoue yaeua ?icuaieaiiy niaeo??a aeanieo
/anoio ? i?aoean?? ii?iaeueieo iiae eieeaaiue i?oaeieo o?e, ui
aeieeathoue caaaeyee ?ooo oeeo o?e o i?inoi?? (cie?aia, caaaeyee
iaa?oiaiio ?ooo) ? iiaeooue oa?aeoa?ecoaaoe oeae ?oo.

A ca’yceo c oeei, inoaii?i /anii niinoa??aa?ii oi?ioaaiiy ie?aiiai
?icae?eo iaoai?ee, i?aaeiaoii yeiai ? aea/aiiy aeeiai?/iiai
aeaoi?ioaaiiy i?oaeieo o?e i?ae ae??th ciai?oi?o nee, c aieiaiei
aaeoi?ii ? aieiaiei iiiaioii a?aei?iieie a?ae ioey ia iaaiiio i?ii?aeeo
/ano iaaaioaaeaiiy o?ea. I?aeii?yaeeiaaia oaeei oiiaai caaea/a iaoai?ee
aeeth/a? a naaa an? iiaeeea? aeiaaeee aeeiai?/iiai aeaoi?ioaaiiy i?e
aeia?eueiiio i?inoi?iaiio ?on?. I?e oaeiio iaea?eueo caaaeueiiio
i?aeoiae? aei i?iaeaie c’yniao?oueny, ui iaa?oue o aeiaaeeo iaeeo
aeaoi?iaoe?e i?e aaeeeeo ia?ai?uaiiyo o?ea o i?inoi??, a?aie/i? caaea/?
iaoai?ee ? iae?i?eieie.

Caaaeyee ?iaioai oe?a?inueeeo oa ?iicaiieo a/aieo aaeaeiny aeae?eeoe o?
i?aeoe/ii aaaeeea? aeiaaeee, eiee iiaeia iiaoaeoaaoe e?iaa?eciaai?
aa??aioe oai??? i?inoi?iaiai ?ooo aeaoi?i?aieo o?e, ye? caaacia/othoue
aenieo oi/i?noue iieno aeeiai?/ieo yaeu ? aoaeo?a, ui ii?iaeaeothoueny
i?inoi?iaei ?ooii o?ea ? aeiioneathoue aeei?enoaiiy ii??aiyii i?inoiai
iaoaiaoe/iiai aia?aoo. Iaeiei c iaeaaaeeea?oeo ? aeiaaeie ?aaoey?iiai
(??aiii??iiai aai ??aiii?enei?aiiai) iaa?oiaiai ?ooo iaaeiei ia?ooiii? o
i?inoi?? in?. A oeueiio aeiaaeeo aeey i?oaeieo o?e, aeaoi?i?aiee noai
yeeo iieno?oueny e?i?eiei oaici?ii Eio? aaeaeiny noi?ioethaaoe aaeoi?io
e?aeiao caaea/o aeey ocaaaeueiaiiai aeeiai?/iiai ??aiyiiy Eaia oa
iiaeaoe a ni?iuaiiio aeaeyae? ??aiyiiy Aeea?a i?inoi?iaiai ?ooo
i?oaeiiai o?ea. A aeena?oaoe?ei?e ?iaio? ?icaeyaea?oueny naia oeae
aa??aio caaaeueii? oai??? aeey aeiaaeeo ??aiii??iiai iaa?oiaiai ?ooo.

I?iaaaeaiee aeena?oaioii ?aoaeueiee aiae?c ioae?eaoe?e, a yeeo
aeeeaaeaii eiie?aoi? iinoaiiaee e?aeiaeo caaea/, iaoiaee ?o ?ica’yceo oa
oeoia/aiiy eeth/iaeo ?acoeueoao?a, io?eiaieo ??cieie aaoi?aie
na?ae/eoue, ui caeeoeeeny ua ia c’yniaaieie iniiaiiieiaei?
caeiiii??iino? aieeao iaa?oiaiai ?ooo ia ?aciiaini? noaie o?e ne?i/aieo
?ici???a, i?ioeane iioe?aiiy oaeeue oa iiaeoeyoe?th noaoe?iia?ieo
eieeaaiue. C?icoi?ei, ui aac iiaiiai ?ice?eooy oeeo caeiiii??iinoae
iaiiaeeeai aeaoe oi/iee e?euee?niee iien oa?aeoa?enoee ??cieo oei?a
oaeeueiaeo a??ineii?a, ui i?aoeththoue ye ia a?aeo/eo, oae ? ia noiy/eo
oaeeyo. ?c neacaiiai aeieeaa?, ui noai?aiiy iniia caaaeueii? oai???
eieeaaiue oa iioe?aiiy oaeeue a i?oaeieo o?eao, ui ia?aaoaathoue a
iaa?oiaiio ?on?, yea a?oioo?oueny ia ii??aiyii iaaaeee?e e?eueeino?
aeo?aeieo i?eioeei?a ? iaeii/anii ioiieth? ??ci? iiaeae? ?aciiaoi??a
oaeeueiaeo a??ineii?a ? aeooaeueiith iaoeiaith ? i?aeoe/ii cia/ouith
i?iaeaiith.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. A?aeia?aaeai?
a aeena?oaoe?ei?e ?iaio? ?acoeueoaoe neoaeeee iniiaith aeey aeeiiaiiy
ieaiiaeo iaoeiaeo aeine?aeaeaiue eaoaae?e oai?aoe/ii? ? i?eeeaaeii?
iaoai?ee Ee?anueeiai oi?aa?neoaoo ?iai? Oa?ana Oaa/aiea ii
ooiaeaiaioaeueiei i?iaeoai i?i?noa?noaa Oe?a?ie o ni?aaao iaoee ?
oaoiieia?e ? 13.3/40: »?ic?iaea oai??? aca?iiae?? ciai?oi?o iaoai?/ieo
?oo?a c eieeaaiiyie oa i?oaeieie oaeeyie a aeaoi?i?aieo o?eao» (? Ae?
0195U005967) a ia??iae c 1994 ii 1996 ?. oa ? 1.4/196: »Aca?iiae?y oa
?oo oaa?aeeo o?e, ui eieeaathoueny» (? Ae? 0197U003133) c 1997 ?. ii
oe./.

Iaoa aeine?aeaeaiiy. Iaoith aeaii? aeena?oaoe?eii? ?iaioe ?
anoaiiaeaiiy caeiiii??iinoae iioe?aiiy i?oaeieo oaeeue a oaa?aeeo o?eao,
ye? ia?aaoaathoue a iaa?oiaiio ?on?, a oaeiae a?aeiia?aeieo aoaeo?a aeey
caaea/ i?i noaoe?iia?i? eieeaaiiy ?aciiaoi??a oaeeueiaeo a??ineii?a ia
i?aenoaa? aiae?co oi/ieo aiae?oe/ieo ?ica’yce?a eeth/iaeo
ii/aoeiai-a?aie/ieo caaea/ ye aeey iaiaiaaeaiiai na?aaeiaeua, oae ? aeey
o?e ne?i/aieo ?ici???a.

Iaoeiaa iiaecia iaea?aeaieo ?acoeueoao?a.

1. Aia?oa cae?eniaii iinoaiiaeo oa ciaeaeaii oi/iee aiae?oe/iee
?ica’ycie e?aeiaeo caaea/ i?i iioe?aiiy aa?iii?/ieo oaeeue a
iaiaiaaeaiiio i?oaeiiio i?inoi??, iioe?aiiy noaoe?iia?ieo ?
ianoaoe?iia?ieo oaeeue a i?ai?inoi??, a oaeiae caaea/ i?i noaoe?iia?i?
eieeaaiiy ? ianoaoe?iia?i? oaee? a oa?? ca oiia, ui aeacai? o?ea
ciaoiaeyoueny a ??aiii??iiio iaa?oiaiio ?on?.

2. Anoaiiaeai? i?e aiae?c? oeeo ?ica’yce?a caeiie aeenia?n?? aa?iii?/ieo
oaeeue; yaeua ?o i?inoi?iai? iiey?ecaoe?? (e?iaiaoeea ?ooo /anoeiie ia
o?iio? oaee?); yaeua iiaeoeyoe?? oeeo oaeeue; e?euee?ni? aeai?, ui
oa?aeoa?ecothoue yaeua ?icuaieaiiy aeanieo /anoio eieeaaiue i?oaeiiai
oa?o oa niaeo?e aeanieo /anoio; caeiiii??iino? ci?ie oi?ie ?iioeueno
noeneo a ianoaoe?iia?ieo caaea/ao; oiiae ?nioaaiiy noaoe?iia?ii?
iiaa?oiaai? oaee? ?aeay – ? iiaeie iaoeiaeie ?acoeueoaoaie ? ia
ia?ae?eaathoueny a?aeiieie aeine?aeaeaiiyie ?ioeo aaoi??a.

3. Io?eiaea iiaeaeueoee ?icaeoie caaea/a i?i iioe?aiiy iiaa?oiaaeo
oaeeue ?aeay. Iiaeie ooo ? aeai? i?i aieea iaa?oiaiai ?ooo ia
e?iaiaoe/i? caeiiii??iino? ?ooo /anoeiie o oaee?.

4. Cai?iaaaeaeaia iiaia iaoaiaoe/ia iiaeaeue oaeeueiaiai a??ineiio
eaia?oiiiiai oeio, yea ia a?aei?io a?ae ?ia?o ?ioeo aaoi??a a?aoiao?
aeaoi?ioaaiiy iniiae ?aciiaoi?a, a oaeiae – aia?oa io?eiai? aiae?oe/i?
oi?ioee aeey ?ic?aooieo iniiaieo aeaeo?iiaoai?/ieo ?iai/eo oa?aeoa?enoee
oaeiai a??ineiio, ui a?oioothoueny ia ni?aa?aeiioaiiyo i?eeeaaeii?
oai??? caeiieo eieeaaiue a?ii?oieo i’?ciea?ai?/ieo aeaiaio?a.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a. Cai?iaaaeaeai? a ?iaio?
oai?aoe/i? iiaeae? aeey aea/aiiy ooiaeaiaioaeueieo caeiiii??iinoae
iioe?aiiy aa?iii?/ieo oaeeue a iaiaiaaeaiiio i?oaeiiio na?aaeiaeu?,
noaoe?iia?ieo ? ianoaoe?iia?ieo oaeeueiaeo i?ioean?a a i?ai?noi?? ? a
oa??, ye? ia?aaoaathoue a iaa?oiaiio ?on? ocaiaeaeothoueny c
aioo??oiueith eia?eith ?icaeoeo aeeiai?/ii? oai??? i?oaeiino?, a
iaea?aeai? ?acoeueoaoe aeiiiaiththoue ? ?icoe?ththoue i?aaeiao aeaii?
aeenoeeie?ie.

sse iieaco? aiae?c ?iai/eo oa?aeoa?enoee oaeeueiaiai a??ineiia
eaia?oiiiiai oeio oa aiae?c e?iaiaoeee oaeeueiaiai ?ooo a iiaa?oiaaeo
oaeeyo ?aeay, anoaiiaeai? caaaeuei? caeiiii??iino? iioe?aiiy aa?iii?/ieo
i?oaeieo oaeeue aeyaeythoue naaa a oe?ieiio eie? i?eeeaaeieo caaea/, a
ioaea iiaeooue canoiniaoaaoenoue aeey ye?nii? ? e?euee?nii? ioe?iee a
?ic?iaeao a??ineii?/ieo naini??a eooiai? oaeaeeino? iaa?oaiiy ??cieo
oei?a.

Ie?ai? ?acoeueoaoe a aeaiee /an aeei?enoiaothoueny a iaa/aeueiiio
i?ioean?. Ca iaoa??aeii aeena?oaoe?? iiaoaeiaaii i?ia?aio niaoe?aeueiiai
eo?no »No/ani? i?iaeaie iaoai?ee nooe?eueiiai na?aaeiaeua», yeee
aeeeaaea?oueny nooaeaioai iaa?no?aoo?e i?e eaoaae?ao oai?aoe/ii? ?
i?eeeaaeii? iaoai?ee oa iaoai?ee nooe?eueiiai na?aaeiaeua Ee?anueeiai
oi?aa?neoaoo ?iai? Oa?ana Oaa/aiea.

Ioae?eaoe?? oa iniaenoee aianie caeiaoaa/a. Ca oaiith aeena?oaoe?eii?
?iaioe iioae?eiaaii 8 iaoeiaeo i?aoeue [1–8]. A oiio /ene?: 4 – a
iaoeiaeo aeo?iaeao, 3 – a ca??eao i?aoeue oa 1 – a oacao aeiiia?aeae
i?aeia?iaeieo iaoeiaeo eiioa?aioe?e. Iniiai? ?acoeueoaoe aoei io?eiaii
aaoi?ii naiino?eii. A oie aea /an ?iaioa [1] iioae?eiaaia a
ni?aaaoi?noa? c A.I.I?e?oaieii, a ?iaioa [4] – a ni?aaaoi?noa? c
A.I.Aaaeaiiaei. A ia?o?e ?iaio? caeiaoaa/aa? iaeaaeeoue ?aeay
aneiioioe/iiai ?ica’yceo iae?i?eieo ??aiyiue ?ooo oa aiae?oe/iee aiae?c
oeueiai ?ica’yceo, A.I.I?e?oaieii aoea cae?eniaia /enaeueia ?aae?caoe?y
?ica’yce?a. A ae?oa?e noaoo? caeiaoaa/aa? iaeaaeeoue iinoaiiaea caaea/?,
?aeay ?ica’yceo o aeaeyae? a?aeo/eo o aca?iii-i?ioeeaaeieo iai?yieao
iiaa?oiaaeo oaeeue oa anoaiiaeaiiy oiia ?nioaaiiy oaeeo oaeeue;
A.I.Aaaeaiiaei cae?eniaii aneiioioe/iee aiae?c ?iciiae?e?a aeeiai?/ieo
ia?ai?uaiue oa ciaeaeaii aneiioioe/iee ae?ac aeey aecia/ieea ?aeay.

Ai?iaaoe?y ?acoeueoao?a aeena?oaoe??. Iniiai? ?acoeueoaoe aeaii?
aeena?oaoe?eii? ?iaioe aeiiia?aeaeeny ia oaeeo I?aeia?iaeieo iaoeiaeo
eiioa?aioe?yo, eiia?anao oa neiiic?oiao: 1995 IEEE International
Frequency Control Symposium (i. Nai-O?aioeenei, NOA); The 3rd
International Congress on Industrial and Applied Mathematics, ICIAM 1995
(i. Aaiao?a, I?ia//eia); IV I?aeia?iaeia eiioa?aioe?y c iaoai?ee
iaiaeii??aeieo no?oeoo? (1995?., i. Oa?iii?eue, Oe?a?ia); II
Iaaeaeoia?iaeiay eiioa?aioeey «Nia?aiaiiua i?iaeaiu iaoaieee nieioiie
n?aaeu» (1996?., i. ?inoia-ia-Aeiio, ?in?y); The 11-th All-European
Conference on Solid-State Transducers, Eurosensors-XI (1997?., i.
Aa?oaaa, Iieueua); I?aeia?iaeia iaoeiaa eiioa?aioe?y «No/ani? i?iaeaie
iaoai?ee ? iaoaiaoeee» (1998 ?., i. Euea?a, Oe?a?ia). A oe?eiio ?iaioa
iaaiai?thaaeany ia iaoeiaiio nai?ia?? “I?iaeaie iaoai?ee” i?e eaoaae??
oai?aoe/ii? ? i?eeeaaeii? iaoai?ee iaoai?ei-iaoaiaoe/iiai oaeoeueoaoo
Ee?anueeiai oi?aa?neoaoo ?iai? Oa?ana Oaa/aiea (1998 ?.).

No?oeoo?a ? ianya aeena?oaoe??. Aeena?oaoe?eia ?iaioa neeaaea?oueny c?
anooio, i’yoe ?icae?e?a iniiaii? /anoeie, aeniiae?a oa ia?ae?eo
aeei?enoaieo e?oa?aoo?ieo aeaea?ae, ui iae?/o? 85 iaca; ?enoie?a – 30,
?ici?uaieo ia 20 noi??ieao, oaaeeoeue – iaia?. Caaaeueiee ianya
aeena?oaoe?? – 175 noi??iie.

EI?IOEEE CI?NO ?IAIOE

O anooi? iiaea?oueny caaaeueia oa?aeoa?enoeea aeena?oaoe?eii? ?iaioe.
Cie?aia, ?ice?eaa?oueny no/aniee noai aeine?aeaeaiue, iia’ycaieo c
i?iaeaiaie aeeiai?/iiai aeaoi?ioaaiiy i?oaeieo oaa?aeeo o?e, ye?
cae?eniththoue i?inoi?iaee ?oo; iaa?oioiao?oueny iaiao?aei?noue
i?iaaaeaiiy iaoeiaiai iiooeo a oe?e aaeoc? ? a?aecia/a?oueny
aeooaeuei?noue oaie aeena?oaoe??; oi?ioeth?oueny iaoa ?iaioe. I?ney
noeneiai aiae?co eeth/iaeo ?acoeueoao?a, ye? oa?eoee aei aeena?oaoe??,
a?aecia/aii ?o iaoeiao iiaecio oa i?aeoe/ia cia/aiiy; aeacaii ia
ioae?eaoe?? aaoi?a, a yeeo oe? ?acoeueoaoe a?aeia?aaeaii ? a?aecia/aii
eiai iniaenoee aianie a oeo ?iaioao, ui iioae?eiaai? ?acii c
ni?aaaoi?aie. Oaeiae iaaiaeyoueny aeai? i?i ca’ycie aeena?oaoe?eii?
?iaioe c iaoeiaeie oaiaie, ui aeeiiothoueny a onoaiia? caeiaoaa/a, aeai?
i?i ai?iaaoe?th ?acoeueoao?a aeena?oaoe??.

A ia?oiio ?icae?e? aeena?oaoe?? iiaeaii iaeyae e?oa?aoo?ieo aeaea?ae, a
yeeo i?noyoueny aeine?aeaeaiiy, i?enay/ai? i?iyaai ?ia?oiino? oaeeue oa
eieeaaiue a ?ooiieo o i?inoi?? i?oaeieo o?eao. Iaoith oeueiai iaeyaeo
aoei anoaiiaeoe ie?aia i?noea ? a?aeiioaiiy aeanieo aeine?aeaeaiue
aaoi?a aei aaea a?aeiieo ?acoeueoao?a, oiaoi cae?enieoe aea?? aeaniiai
iai?yieo.

Iaea?eueo aeineiiaei aea/ai? ?ethno?aoe?? oaeeueiaeo yaeu a ?ooiieo
i?oaeieo o?eao iaiaaeothoueny aeiaaeeii aa?iii?/ieo eieeaaiue oa oaeeue
a oiiaao ?aaoey?iiai (??aiii??iiai aai ??aii-i?enei?aiiai) iaa?oiaiai
?ooo. Aeieeiaiiy oeueiai iai?yieo iia’ycaia c ?iaiai A.O.A?ayia, yeee
iai?ee?ioe? XIX no. aia?oa noaaeoue i?iaeaio noai?aiiy iaoaiaoe/ii?
iiaeae?, yea a aaeaeaaoii a?aeia?aaeaea i?e?iaeo yaeu ?icuaieaiiy /anoio
oa i?aoean?? ii?iaeueieo iiae eieeaaiue i?oaeieo o?e ne?i/aieo ?ici???a
(cie?aia iaieiiie iaa?oaiiy) i?ae /an iaa?oiaiai ?ooo. Ai?iaeiaae
noie?ooy aeine?aeaeaiiy c oe??? oaie ia??iaee/ii c’yaeythoueny o
aeaeaiiyo ii iaoai?oe? oa a noi?aeieo c iath aaeocyo, iai?eeeaae, a
naeniieia?? (?icuaieaiiy /anoio aeanieo eieeaaiue Caie?, iia’ycaia c
aeiaiaei iaa?oaiiyi).

Cacia/eii, ui iiaeaeue A?ayia ia?aaeaa/a? iiaeeea?noue a?aeoai?eoe
i?inoi?iaee iae?i-?oo o?ea (a iaei?ino?oiio aeiaaeeo — aecia/eoe
aaee/eio ? iai?yiie eooiai? oaeaeeino? iaa?oaiiy) oeyoii niinoa?aaeaiiy
ca noeoii?noth ci?iieo ? ia?aiao??a oaeeueiaiai i?e?i-?ooo. Oea
iieiaeaiiy neeaaea? i?aaeiao ii??aiyii iiai? aeenoeeie?ie — oai???
oaa?aeio?eueieo oaeeueiaeo a??ineii?a, ui ia? nai?i oaoi?/iei
canoinoaaiiyi ?ic?iaeo ??cieo oei?a oaa?aeio?eueieo a??ineii?/ieo
naini??a. A ??ciee /an i?iaeaiai noai?aiiy oa aea/aiith ?iai/eo
oa?aeoa?enoee oaeeueiaeo a??ineii?a i?enayoeee nai? ?iaioe Aeae.Aa?aean,
E.?.A?icaoeue, I.Aaeaonthe?, AE.Aaia, I.A.?aa?i?i, A.O.AEo?aaeueia,
Ae.I.Ee?iia, A.A.E????ieia, I.Eea?e, N.I.Eeneeaiei, I.Eiiii, N.Eoaei,
A.Eai, ?.A.Eaaaae?aa, TH.E.I?ia?a, I.A.Iaaeianueeee, A.I.Iaaeianueeee,
A.E.Iiiia, N.A.Na?aioeia, A.E.Ni??iia, ss.Nueiaea?ea?no, A.O.Oe?oei,
E.*aia, AE.ssia oa aaaaoi ?ioeo aaoi??a. Ia nueiaiaei? a oe?e aaeoc?
niinoa??aa?ii cia/iee i?ia?an ye c oi/ee ci?o noai?aiiy eiino?oeoeaii
??ciiiai?oieo naini??a (iaieiieiaiai, eaia?oiiiiai oei?a, ia iiaa?oiaaeo
aeonoe/ieo oaeeyo oa ?i.), oae ? naini??a, ??ciiiai?oieo ca i?eioeeiii
ae?? (?ii?ni?, iaai?oino?eeoe?ei?, aeaeo?iiaoai?/i?). A aeena?oaoe?ei?e
?iaio? i?iaiae?ciaaii ia?aaaaeii o? ?ic?iaee, a yeeo ?aciiaoi?e
aeaioiaeythoueny c aenieiaeia?ioieo aeaeo?iiaoai?/ii aeoeaieo
iaoa??ae?a, ine?eueee iiaoaeiaai? ia i?eioeei? i’?ciaoaeoo a??ineii?/i?
naini?e iaee?auei /eiii caaeiaieueiythoue aeiiaai oi/iino? oa
iaae?eiino?, ui aenoaathoueny aei no/anieo iiai?noth ?ioaa?iaaieo
aaaaoiooieoe?iiaeueieo i?e?inaini?ieo nenoai.

Canoinoaaiiy oaeeueiaiae?a ia iiaa?oiaaeo aeonoe/ieo oaeeyo (IAO) aeey
niinoa?aaeaiiy a??ineii?/ieo aoaeo?a a?aee?eaa? iiao oaiaeaioe?th a
?icaeoeo oai??? oaa?aeio?eueieo oaeeueiaeo a??ineii?a (A.Eai,
Aeae.Aa?aean ? I.Eea?e, N.A.Na?aioeia ? N.I.Eenaeaiei oa ?i), aaeaea
iiaoaeiaa iaoaiaoe/ieo iiaeaeae a??ineii?/ieo naini??a ia IAO aaea
aeiaaa? oe?ieiai canoinoaaiiy iaoiae?a i?inoi?iai? aeeiai?/ii? oai???
i?oaeiino? cai?noue i?eeeaaeieo iaoiae?a ? oai??e eieeaaiue iaeii- oa
aeaiaei??ieo i?oaeieo ia’?eo?a. I?e oeueiio oe?iei aeei?enoiaothoueny
?acoeueoaoe oaeeueiai? aeeiai?ee i?oaeieo o?e (AE.Aoaiaao,
A.O.A??i/aiei, A.Eaia, A.A.Iae?oei, ?.O.N?e?cia, Aeae.A.No?aoo (Ei?ae
?aeae), oa ?i.)

Iaeii/anii c ?icaeoeii iiaeo oei?a oaeeueiaeo a??ineii?a, c iiaoaeiaith
?o eiie?aoieo iaoaiaoe/ieo iiaeaeae aeae?ey?oueny ? eiei niaoeeo?/ieo
oai?aoe/ieo i?iaeai, ui aeiaaathoue noai?aiiy ocaaaeueiaii? caieiaii?
oai???, yea a c iaiao?aeiith iiaiioith iienoaaea aeia?eueia aeeiai?/ia
aeaoi?ioaaiiy i?oaeieo o?e, ye? cae?eniththoue neeaaeiee i?inoi?iaee ?oo
? a iaaiiio eie? aeiaaee?a aeiioneaea a canoinoaaiiy iaoaiaoe/ieo
iaoiae?a e?i?eii? aeeiai?/ii? oai??? i?oaeiino?. Oeae iai?yiie
aeine?aeaeaiue ?icaeaa?oueny ia?aaaaeii a ?iaioao ?in?enueeeo oa
oe?a?inueeeo aaoi??a (A.O.AEo?aaeueia, A.O.Oe?oei oa ?i.). A iaeyae?
e?oa?aoo?e i?iaiae?ciaai? ??ci? aa??aioe oai??e i?inoi?iaiai ?ooo ? ca
aaciao aea?aii oai??th A.O.Oe?oea. Cae?i/o?oueny e?oa?aoo?iee iaeyae
ei?ioeei ?acthia noiniaii iaiao?aeiino? ?ica’ycaiiy iinoaaeaieo a
aeena?oaoe?? caaea/.

O ae?oaiio ?icae?e? aeena?oaoe?? aeeeaaeaii a eiiniaeoeai?e oi?i?
iniiai? ?acoeueoaoe caaaeueii? oai??? i?inoi?iaiai ?ooo i?oaeieo o?e
A.O.Oe?oea (Oeeoei A.O. I?ino?ainoaaiiia aeaeaeaiea oi?oaeo oae //
Ecaanoey AI NNN?. IOO. – 1990. – ? 6. – c. 55-66.).

aoaea a?nnth iaa?oaiiy, oiae? ocaaaeueiaia aeeiai?/ia ??aiyiiy Eaia
ia? aeaeyae

, (1)

– iiaeoeue cnoao iaoa??aeo. Iiaoaeiaaii ?ica’ycee oeueiai ??aiyiiy
aeey a?aeo/eo ieineeo aa?iii?/ieo oaeeue, ye? iioe?ththoueny a iai?yieo
a?n? iaa?oaiiy oa ia?iaiaeeeoey?ii aei ia?. Anoaiiaeaii, ui a oaeiio
na?aaeiaeu? iiaeooue a caaaeueiiio aeiaaeeo iaeii/anii ?nioaaoe o?e
iacaeaaeieo oeie oaeeue, ye? iioe?ththoueny c aeenia?n??th oa
cai?iaaaeaeaii ?o eeaneo?eaoe?th.

Cie?aia o aeiaaeeo, eiee iai?yiie oaeeueiaiai aaeoi?a ni?aiaaea? c
iai?yieii aaeoi?a eooiai? oaeaeeino?, ??aiyiiy Eaia (1) aecia/a? oae?
?ica’ycee.

1. Aacaeenia?n?eia iicaeiaaeiy oaeey, a ye?e aaeoi? ci?uaiiy
iaoa??aeueieo /anoeiie na?aaeiaeua ? eie?iaa?iei a?n? iaa?oaiiy o?ea

. (2)

. Iai?yiie ?ooo /anoeiie ia eieiaeo o?a?eoi??yo ooo ni?aiaaea? c
iai?yieii iaa?oaiiy o?ea:

, (3)

, a ye?e iai?yiie ?ooo /anoeiie ? i?ioeeaaeiei iai?yieo iaa?oaiiy o?ea:

, (4)

aea

(5)

, i?aaenoaaeaii ia ?en.1 oa ?en.2, ooo aea noaiaoe/ii iieacaii iai?yiie
?ooo /anoeiie na?aaeiaeua ia o?iioao oaeeue.

?en.1 ?en.2

noa? iane?i/aiii aaeeeith. A aeena?oaoe?ei?e ?iaio? aeaoaeueii
i?iaiae?ciaaii oeae aeiaaeie aiiiaeueii? aeenia?n?? oaee?. Oeyoii
ia?aoiaeo aei ia?ooiii? nenoaie a?aee?eo aeiaaaeaii, ui aeey eooiai?
oaeaeeino? iaa?oaiiy ??ai?e e?oaia?e /anoio? oaee? aeaiee oei
oaeeueiaiai ?ooo ia?anoa? ?nioaaoe, a ?iciiae?e ia?ai?uaiue oa
oaeaeeinoae iieno?oueny ni?aa?aeiioaiiyie aeeiai?ee aaniethoii oaa?aeiai
o?ea.

. A ?iaio? i?iaaaeaii iaeaaeiee aiae?c a?aeiia?aeieo aeenia?n?eieo
ni?aa?aeiioaiue.

iiaeia caienaoe

(6)

aeey i?yii? iiaeoeueiaaii? oaee? oa

(7)

aeey iaa?iaii?. Oeae ?acoeueoao aeaco? ia i?eioeeiiao a?aei?ii?noue
oaeeueiaiai ?ooo a o?e?, yea iaa?oa?oueny, a?ae eeane/ieo
caeiiii??iinoae aeey ia?ooiiiai o?ea (oai??y noiy/eo oaeeue, oiaoi
ii?iaeueieo iiae eieeaaiue), a oaeiae ye?nii ocaiaeaeo?oueny ?
aeiiiaith? oai??th i?aoean?? ii?iaeueieo iiae, ui aeei?enoiaothoueny a
aeayeeo oeiao oaa?aeio?eueieo oaeeueiaeo a??ineii?a.

Aaaeeeaei iane?aeeii aeaiiai aeine?aeaeaiiy ? oaeiae oa, ui aeey
?cio?iiiiai o?ea ia an? iai?yiee iioe?aiiy oaeeue ii a?aeiioaiith aei
in? iaa?oaiiy ? ??aiioe?iieie: a iienaieo aeua aeiaaeeao ii?yae c
aeenia?aoth/eie caaaeaee aeae?ey?oueny aacaeenia?n?eia oaeey. Oea
iieiaeaiiy cia/ii ni?iuo? iaoaiaoe/iee aiae?c aeeiai?/ieo caaea/ oaeiai
eeano aeey i?oaeieo o?e ne?i/aii? aaiiao???.

. I?e oaeeo oiiaao cae?enith?oueny a?aeie?aieaiiy aacaeenia?n?eieo
oaeeueiaeo ?ica’yce?a ??aiyiue ?ooo Eaia oeio (1), ui a?aeiia?aeathoue
oaeeueiaei ?ooai a o?e? aac iaa?oaiiy, a aeine?aeaeaiiy ca’ycaieo
“ei??ie?niaeo” aoaeo?a i?iaiaeeoueny a oiiaao ieinei? caaea/? oai???
i?oaeiino?.

aneiioioe/i? ?iciiae?ee ia?ai?uaiue, iai?eeeaae, a i?oaeiiio oa??
iiaeia iiaeaoe o aeaeyae?

,

, (8)

.

/eaie a oi?ioeao aeey ia?ai?uaiue oa iaci?ii? c oiaueiith /eaie a
oi?ioeao aeey iai?oaeaiue, oiaoi oaeeueiaee ?oo oa?o acaaae?
oa?aeoa?eco?oueny eeoa noia?iiceoe??th eaace-iiia?a/ieo oaeeue. A
caaea/? i?i iioe?aiiy noaoe?iia?ieo a?aeo/eo oaeeue a i?oaeiiio
i?ai?inoi?? o aeacaieo aeaio aeiaaeeao io?eio?ii oe?eeii aiaeia?/i?
aeniiaee noiniaii oa?aeoa?o ?iciiae?e?a oaeeueiaeo iie?a.

.

. Oea icia/a?, ui a caaaeueiiio aeiaaeeo oiaueii? eieeaaiiy oa?o
oa?aeoa?ecoaaoeiooueny ia eeoa aa?iii?/ieie neeaaeiaeie o ?ica’yceao
aeey ia?ai?uaiue ? iai?oaeaiue. O aeiaaeeo e?eoe/ieo eooiaeo oaeaeeinoae
iaa?oaiiy, ye? i?e caaeai?e oiauei? oa?o ni?aiaaeathoue c oaeaeeinoyie
iicaeiaaei?o oa iiia?a/ieo oaeeue a ia?ooiiiio o?e?, /e oi ciaoiaeyoueny
o a?aee?eoiio ?ioa?aae? i?ae oeeie cia/aiiyie, iaoeiooue i?noea
aiiiaeuei? aeiaaeee, eiee iaeia ?c neeaaeiaeo oaeeueiaiai iiey
iienoaaoeiaoueny a?ia?aie?/ieie ooieoe?yie.

Io?eiai? a?aeiiino? i?i ii?iaeuei? iiaee eieeaaiue, niaeo?e aeanieo
/anoio oa ?o ?icuaieaiiy o aeiaaeeo i?oaeiiai oa?o, a oaeiae aiaeia?/i?,
aai aeecuee? ii noo? ?acoeueoaoe aeey i?oaeiiai i?ai?inoi?o aeicaieeee
ae?iaeoe caaaeueiee i?aeo?ae aei iiaoaeiae ?ica’yce?a ianoaoe?iia?ieo
caaea/, a yeeo caoaeaeaiiy oaeeue a?aeaoaa?oueny i?ae ae??th
i?eeeaaeaieo aei a?/ieo iiaa?oiiue ii?iaeueieo ?iioeuenieo
iaaaioaaeaiue. Oae, cie?aia, aeey i?oaeiiai oa?o ?ica’ycie aoaeo?oueny
ca aeiiiiiaith iiaoi?ieo ?ioaa?aeueieo ia?aoai?aiue: nii/aoeo
canoiniao?oueny ne?i/aia ia?aoai?aiiy ii aeaniei ooieoe?yi noaoe?iia?ii?
caaea/?, ui aeicaiey? i?aaenoaaeoe ?ica’ycie aeey aeeiai?/ieo
ia?ai?uaiue ? iai?oaeaiue o aeaeyae? ?yae?a Oo?’? c iaa?aeiieie
eiao?oe??ioaie – ooieoe?yie /ano; iio?i aeey aecia/aiiy oeeo
eiao?oe??io?a canoiniao?oueny ?ioaa?aeueia ia?aoai?aiiy Eaieana (iaoiae
Noiena-A??iaa?aa). Oaeei aea /eiii a ianoaoe?iia?i?e caaea/? aeey
i?ai?inoi?o ?ica’ycie aoaeo?oueny nii/aoeo c canoinoaaiiyi
eineion-ia?aoai?aiiy Oo?’? ii aeeaeii?e eii?aeeiao?, a iio?i aei
ciaoiaeaeaiiy iaa?aeiieo u?eueiinoae oeueiai ia?aoai?aiiy
canoiniao?oueny ia?aoai?aiiy Eaieana ii /ano. Iniaeea?noth aeeiai?/ieo
caaea/ oeueiai oeio aeey o?e, ye? ciaoiaeyoueny a iaa?oiaiio ?on? ? oa,
ui iaa?iaiee ii?yaeie canoinoaaiiy ?ioaa?aeueieo ia?aoai?aiue
i?ecaiaeeoue aei iaaei?aaaeaieo iaoaiaoe/ieo oneeaaeiaiue, iia’ycaieo c
iaa?iaiiyi Eaieana a eiiieaeni?e ieiuei? ??iaia.

Caaa?oo?oueny ?icae?e aeine?aeaeaiiyi caeiiii??iinoae iioe?aiiy
aa?iii?/ii? a?aeo/i? oaee? ?aeay ia a?euei?e iiaa?oi? i?oaeiiai
i?ai?inoi?o. sse ? ne?ae aoei i/?eoaaoe, oaee? ?aeay iioe?ththoueny c
aeenia?n??th ?o oaeaee?noue aecia/a?oueny ?c neeaaeiiai
o?ainoeaiaeaioiiai ??aiyiiy, ui ia caiaeeoueny aei aeaaa?a?/iiai.
Iaiaaeaiiy ia oaeaeeino? ?aea?anueeeo oaeeue (oiiaa ?nioaaiiy)
oi?ioeth?oueny o aeaeyae? ia??aiino?

, (9)

. Aoei i?iaaaeaii aiae?c ?iciiae?e?a ia?ai?uaiue o oaee? aeey iaeeo
eooiaeo oaeaeeinoae iaa?oaiiy i?ai?inoi?o. Cie?aia anoaiiaeaii, ui
nooo?aiai niioai?aiiy caciathoue eeoa aeeaeii? eiiiiiaioe ia?ai?uaiue a
a?aeo/eo oaeeyo, a noia?iiceoe?y i?yieo ? iaa?iaieo oaeeue ?aeay
ii?iaeaeo? iiaeoeueiaai? a?aeo/? oaee?, ye ? o aeiaaeeo oaeeue a
iaiaiaaeaiiio na?aaeiaeu?.

O i’yoiio ?icae?e? aeeeaaea?oueny ?ic?iaeaia aaoi?ii oai??y oaeeueiaiai
a??ineiia eaia?oiiiiai oeio. I?e iiaoaeia? iaoaiaoe/ii? iiaeae? aeaiiai
oaeeueiaiai a??ineiia eiai ?aciiaoi? ?icaeyaea?oueny ye neeaaeia
eieeaaeueia nenoaia, aei yei? aoiaeyoue aeaa oiieeo a?ii?oieo
i’?ciea?ai?/ieo noa?aeiy oa aeaeo?iiaoai?/ii ia aeoeaia iai?ae?eueoea,
ui ?o c’?aeio? ? ia? oae? ae iaoai?/i? oa?aeoa?enoeee, ye ? a?ii?oi?
noa?aei?. Eiaeiee ?c noa?aei?a, a naith /a?ao, iiae?ey?oueny ia aea?
??ai? /anoeie, a yeeo ciaee iaaaaeaii? iiey?ecaoe?? ? ??cieie a?aeiinii
na?aaeeiii? ieiueie, caaaeyee /iio a iaeii??aeiiio aeaeo?e/iiio iie?
ia?ii noia?io aeaoi?iaoe?th caeio. Iaeei ?c noa?aei?a aeei?enoiao?oueny
aeey caoaeaeaiiy caeiieo eieeaaiue a ieiuei? ?icoaooaaiiy eaia?oiia, a
?ioee neoaeeoue aeey ?a?no?aoe?? aeo?aeiiai aeaeo?e/iiai neaiaeo ia
caeiieo eieeaaiiyo “c ieiueie”, ye? aeieeathoue caaaeyee iaa?oiaiio ?ooo
iaaeiei a?n? neiao??? o?ao?e. ?iaeoa eaaeo/e a?ii?oi? aeaiaioe iathoue
aca?iii i?ioeeaaeio i???ioaoe?th ii a?aeiioaiith aei iniiae eaia?oiia –
iai?ae?eueoey.

, oi /anoioe caeiii-e?ooeeueiiai oeio eieeaaiue iai?ae?eueoey ? cia/ii
aeueie a?ae /anoio caeiieo eieeaaiue noa?aei?a. A?aoiaoth/e oea, aaoi?ii
aeei?enoaii noaoe/i? caaaeuei? ?ica’ycee aeey caeiii-e?ooeeueii?
aeaoi?iaoe?? iai?ae?eueoey c iaoith anoaiiaeaiiy iaoaiaoe/ii ei?aeoieo
oiia ni?yaeaiiy i?ae a?ii?oieie noa?aeiyie oa iai?ae?eueoeai. A
?acoeueoao? iiaoaeiaaii ?ica’ycie aeey caeiieo eieeaaiue noa?aei?a i?e
neeaaei?e nenoai? oiia ni?yaeaiiy ia ieaei?o oi?oeyo (i?oaeia
cae??ieaiiy, ui a?aeiia?aea? ae?? caeiath/eo iiiaio?a, ia?a??coth/eo nee
oa iiiaio?a e?o/aiiy) oa a?aie/ieo oiia ia aa?oi?o oi?oeyo (ciai?oiueiio
aeaeo?e/iiio iaaaioaaeaiith noaaeoueny o a?aeiia?aei?noue ae?y
caeiath/iai iiiaioo). Aeey ?iai/i? iiaee ?aciiaoi?a, ?aciiainia ??aiyiiy
aoei io?eiaii o aeaeyae?

, (10)

. Ioaea, i?oaeia e?eueoea iaeiai ?aae?ona ianooo?ai ciaioo? cia/aiiy
?aciiainieo /anoio eaia?oiia. Oe? aeai? oaeiae aeacothoue ia ?icuaieaiiy
?aciiainieo /anoio eieeaaiue, caaaeyee ae?? nee ?ia?oe?? Ei??ie?na.

ssaeua ?icuaieaiiy /anoio, iaoiiaeaia iaa?oaiiyi eaia?oiia, ii?iaeaeo?
ieceo aoaeo?a, ui i?iyaeythoueny ? a e?iaiaoeoe? ii?iaeueieo iiae ? a
iaoaiaoe/iiio i?aaenoaaeaii? aeo?aeiiai aeaeo?e/iiai neaiaeo. Cie?aia, o
aeiaaeeo a?eueieo eieeaaiue anoaiiaeaii, ui oi?oe? noa?aei?a eaia?oiia
?ooathoueny ii eieiaei o?a?eoi??yi. Ooo niinoa??aa?oueny iiaia ye?nia
aiaeia?y c e?iaiaoeeith ?ooo /anoeiie ia o?iioao oaeeue, ui
iioe?ththoueny acaeiaae a?n? iaa?oaiiy a iaiaiaaeaiiio na?aaeiaeu?.

, oi aoaeooue ni?aaaaeeeaeie oae? oi?ioee aeey ia?ai?uaiue oi?oe?a
eaia?oiia

(11)

?ac?a iaioa i?ae a eiai ieiuei?.

Iniiaiei ?ioi?iaoeaiei ia?aiao?ii a??ineii?/iiai naini?a ? aeo?aeia
??cieoey aeaeo?e/ieo iioaioe?ae?a ia aei??thaaeueiiio a?ii?oiiio
noa?aei? eaia?oiia. Oe?eeii aiaeia?/ii c (11) ?? iiaeia i?aaenoaaeoe o
aeaeyae?

(12)

a?ae aeia?ioiino? ??cieo i’?ciea?ai?/ieo iaoa??ae?a ? eaaae?aoe/iith
(aeea. ?en.6)

?en.5 ?en.6

AENIIAEE

1. ?ic?iaeaii iniiae oai??? aeeiai?/iiai aeaoi?ioaaiiy i?oaeieo o?e, ye?
ia?aaoaathoue a iaa?oiaiio ?on?. Aeine?aeaeaii caeiiii??iino? iioe?aiiy
ieineeo aa?iii?/ieo oaeeue a iaiaiaaeaiiio i?oaeiiio na?aaeiaeu?, yea
??aiii??ii iaa?oa?oueny. Ciaeaeaii, ui a oaeiio na?aaeiaeu? iiaeooue
iaeii/anii ?nioaaoe o?e iacaeaaeieo oeie oaeeue, ye? iioe?ththoueny c
aeenia?n??th. I?iaaaeaii aeaoaeueiee aiae?c caeii?a aeenia?n??, yea
iaoiiaeth?oueny ei??ie?niaeie oa a?aeoeaio?iaeie neeaie ?ia?oe??
iaa?oiaiai ?ooo. Anoaiiaeaii, ui aeenia?n?ei? oaee? iathoue ae?ioe/io
aai eieiao iiey?ecaoe?th, a oaeiae cai?iaaaeaeaii eeaneo?eaoe?th, ui
iiae?ey? oae? oaee? ia eaace-iicaeiaaei? oa eaace-iiia?a/i?. Aeey
aiiiaeueiiai aeiaaeeo aeenia?n??, eiee eooiaa oaeaee?noue iaa?oaiiy
ni?aiaaea? c e?oaiaith /anoioith, ciaeaeaii ae?iaeaeaiiy iaaieo oei?a
oaeeue, oiaoi a?aenooi?noue a?aeiia?aeieo aeeiai?/ieo iai?oaeaiue a
o?e?. Anoaiiaeaii, ui i?e aeiaeaaaii? cono??/ieo aeenia?n?eieo a?aeo/eo
oaeeue iaeiiai oeio c iaeiaeiaith aiie?ooaeith, ooai?th?oueny ia noiy/a,
a iiaeoeueiaaia a?aeo/a oaeey c /anoioith iiaeoeyoe??, ui aei??aith?
eooia?e oaeaeeino? iaa?oaiiy.

2. Io?eiaii oi/i? ?ica’ycee noaoe?iia?ii? oa ianoaoe?iia?ii? a?aie/ieo
caaea/ aeey i?oaeiiai oa?o, yeee iaa?oa?oueny iaaeiei in?, eie?iaa?ii?
eiai a?/iei iiaa?oiyi. Anoaiiaeaii, ui iaa?oue a oiiaao iaeii??aeiiai
??aiii??ii ?iciiae?eaiiai iaaaioaaeaiiy a?/ieo iiaa?oiiue oa?o
ii?iaeueieie iai?oaeaiiyie, eieeaaiiy iaoa??aeueieo oi/ie
a?aeaoaathoueny o aeaio aca?iii-i?oiaiiaeueieo iai?yieao, oiaoi
niinoa??aa?oueny yaeua iiey?ecaoe?? oaeeue, oaea ye ? a iaiaiaaeaiiio
na?aaeiaeu?. Aeey aeiaaee?a ii??aiyii iaeeo eooiaeo oaeaeeinoae ?ice?eo?
iniaeeaino? e?iaiaoeee oaeeueiaiai ?ooo. C aiae?co ?ica’yceo
noaoe?iia?ii? caaea/? iiaeaii e?euee?ni? aeai? i?i yaeua ?icuaieaiiy
niaeo??a aeanieo /anoio eieeaaiue oa iiaoaeiaaii caeaaeiino? oeeo /anoio
a?ae eooiai? oaeaeeino? iaa?oaiiy. Aiiiaeueia yaeua a?aenooiino?
ie?aiiai oeio oaeeueiaiai ?ooo ia /anoioao, ye? ni?aiaaeathoue c
eooiaith oaeaee?noth iaa?oaiiy oa aeieeiaiiy aeniiiaioe?aeueieo oaeeue
aeey iaaieo cia/aiue eooiai? oaeaeeino? ? iiaei oe?eaaei iane?aeeii
oaeiai aeine?aeaeaiiy. Iiaoaeiaaii ?ica’ycie noaoe?iia?ii? caaea/? aeey
i?ai?inoi?o. Caeiiii??iino? iioe?aiiy oeeo oaeeue ? aoe?eiio
aiaeia?/ieie aei caaea/? i?i noaoe?iia?i? eieeaaiiy i?oaeiiai oa?o.

3. Iaoiaeii ne?i/aieo ?ioaa?aeueieo ia?aoai?aiue oa eiai ocaaaeueiaiiyi
ia iai?aiane?i/aiee ?ioa?aae (iaoiae Noiena-A??iaa?aa) iiaoaeiaaii
oi/iee ?ica’ycie caaea/ i?i ?iioeuenia iaaaioaaeaiiy ii?iaeueieie
iai?oaeaiiyie ye aeey i?oaeiiai oa?o, oae ? aeey i?ai?inoi?o. Ciaeaeaii,
ui ?iioeuen noeneo noaei? ?ioaineaiino?, i?ae /an ieoo?aiai
iaaaioaaeaiiy, i?e a?aeaeaeaii? o?iioo oaee? a?ae iiaa?oi? i?ai?inoi?o,
aai oa?o, ci?ith? naith oi?io: ca ?aooiie iaa?oaiiy a?i aaea ia ?
i?yiieooiei, a niioai?th?oueny oaeei /eiii, ui eiai aiie?ooaea ca
o?iioii oaee? aanue /an ciaioo?oueny. Caaaeyee ca’ycaiino? oaeeueiaeo
?oo?a ii?iaeuei? iai?oaeaiiy noi?iaiaeaeothoueny aeioe/ieie
iai?oaeaiiyie, ?ioaineai?noue yeeo c?inoa? ca o?iioii oaee?. O aeiaaeeo
i?oaeiiai oa?o niinoa??aa?oueny iaa?iaiee ?acoeueoao: i?e iioe?aii?
a?aeaeoiai ?iioeueno ?icoyao eiai aiie?ooaea ca o?iioii oaee? c?inoa?, a
aiie?ooaea a?aeaeoiai ?iioeueno cnoao ciaioo?oueny. Iaaaaeaii e?euee?ni?
aeai?, ui oa?aeoa?ecothoue oea yaeua. Ia?aooiee i?aeoaa?aeaeothoue, ui
oaeaeeino? iioe?aiiy ?iioeuen?a ni?aiaaeathoue c a?aeiia?aeieie
cia/aiiyie a ia?ooiiiio o?e?.

4. Io?eiaii ?ica’ycie aeey aa?iii?/ii? a?aeo/i? oaee? ?aeay ia a?euei?e
iiaa?oi? i?oaeiiai i?ai?inoi?o, yeee ??aiii??ii iaa?oa?oueny iaaeiei
in?, ui eaaeeoue a ieiuei? eiai a?aieoe?. Anoaiiaeaii oiiae ?nioaaiiy
oaeiai oeio oaeeue: ciaeaeaii, ui aeey aoaeue-yeiai cia/aiiy eooiai?
oaeaeeino? iaa?oaiiy ?o oaciaa oaeaee?noue ia iiaea ia?aaeuoaaoe
a?aeiia?aeia cia/aiiy oaciai? oaeaeeino? eaace-iiia?a/ieo oaeeue a
iaiaiaaeaiiio o?e?, yea ??aiii??ii iaa?oa?oueny. Aea/aii e?iaiaoe/i?
caeiiii??iino? ?ooo /anoeiie o oaeeyo ?aeay aeey ii??aiyii iaeeo
cia/aiue eooiai? oaeaeeino? iaa?oaiiy.

5. Iiaeaii iine?aeiaiee aeeeaae oai??? oaeeueiaiai a??ineiia
eaia?oiiiiai oeio, ye neeaaeii? o?ueio-aeaiaioii? eieeaaeueii? nenoaie,
ui aeeth/a? a naaa iai?ae?eueoea c aeaeo?iiaoai?/ii iaaeoeaiiai
iaoa??aeo oa a?ii?oi? i’?ciea?ai?/i? noa?aei?. Ia a?aei?io a?ae ?ia?o
iiia?aaeiee?a, aaoi?ii aeei?enoaia oai??y ca’ycaieo aeaeo?ii?oaeieo
caeiieo eieeaaiue a?ii?oieo aeaiaio?a. C aeei?enoaiiyi oai??? eieeaaiue
e?ooeeueii-caeiiiai oeio Eyaa-Oeiioaiei oa oiia i?aeaiaeo ? i?eeiio
aeaeo?e/ieo neaiae?a c a?ii?oieo noa?aei?a io?eiaii caieiaio nenoaio
??aiyiue a?aeiinii iaoai?/ieo oa aeaeo?e/ieo ci?iieo ni?yaeaiiai
aeaeo?ii?oaeiiai iiey. Aeey oe??? nenoaie noi?ioeueiaaii o?ce/ii
iaa?oioiaai? a?aie/i? oiiae oa oiiae ni?yaeaiiy, ui caaacia/othoue
?aeei?noue ?ica’yceo caaea/?. Aea/aii ?aciiaini? aeanoeaino? oaeeueiaiai
a??ineiia eaia?oiiiiai oeio: ciaeaeaii yaeua ?icuaieaiiy /anoio
eieeaaiue, i?iaaaeaii e?euee?niee ? ye?niee aiae?c ?aciiainiiai
aecia/ieea, ui aeaei ciiao anoaiiaeoe iaaeeaeai? oi?ioee aeey ?ic?aooieo
?aciiainieo /anoio. Iiaoaeiaaii ?ica’ycee aeey eieeaaiue oi?oe?a
noa?aei?a eaia?oiia ye o aeiaaeeo a?eueieo eieeaaiue, oae ? o aeiaaeeo
aeiooaieo eieeaaiue. Iieacaii, ui ?nio? iiaia aiaeia?y i?ae
a??ineii?/ieie aoaeoaie a eieeaaiiyo eaia?oiiiiai ?aciiaoi?a ?
caeiiii??iinoyie iioe?aiiy aa?iii?/ieo oaeeue a i?oaeiiio na?aaeiaeu?,
yea iaa?oa?oueny.. Aeaoaeueii aea/aii aeiaaeie ?aciiainieo eieeaaiue.
Io?eiaii oi?ioee aeey ia?ai?uaiue oi?oe?a eaia?oiia oa aeey aeo?aeii?
??cieoe? aeaeo?e/ieo iioaioe?ae?a o aeaeyae? iiaeoeueiaaieo eieeaaiue, c
/anoioith iiaeoeyoe??, ui aei??aith? eooia?e oaeaeeino? iaa?oaiiy.
Anoaiiaeaii oi?ioeo aeey /ooeeaino? a??ineiia eaia?oiiiiai oeio, ye
iniiaiiai ia?aiao?o, ui oa?aeoa?eco? aoaeoeai?noue oaeiai oeio
ia?aoai?thaa/a oa i?iaaaeaii a?aeiia?aei? /eneia? ioe?iee.

IOAE?EAOe?? CA OAIITH AeENA?OAOe?EII? ?IAIOE

Iniiaiee ci?no aeena?oaoe?? a?aeia?aaeaii a oaeeo ioae?eaoe?yo:

1. Oe?oei ?.A., I?e?oaiei A.I. Caeiiii??iino? iioe?aiiy a?aeo/eo
iae?i?eieo oaeeue cnoao a iai?aiane?i/aiiio ii?iaeieiiiio oeee?iae??
oa a oiieino?ii?e oeee?iae?e/i?e iaieiioe? // A?niee Ee?anueeiai
oi?aa?neoaoo, Na?.: o?c.-iao. iaoee. – 1994. – Aei.1. – N. 139-149.

2. Oeeoei E.A. Aeenia?ney ieineeo aa?iiie/aneeo aiei a ?aaiiia?ii
a?auathuainy oi?oaii i?ino?ainoaa // Aeiiia?ae? IAI Oe?a?ie. – 1995. –
?1. – N. 54-57.

3. Oe?oei ?.A. Aa?iii?/i? eieeaaiiy i?oaeiiai i?ai?inoi?o, yeee
ia?aaoaa? a iaa?oiaiio ?on? // Aeonoe/iee a?niee. – 1998. – O.1. – ? 2.
– N. 73-79.

4. Oe?oei ?.A., Aaaeaiia A.I. Aa?iii?/ia oaeey ?aeay ia a?euei?e
iiaa?oi? i?oaeiiai i?ai?inoi?o, yeee ia?aaoaa? a iaa?oiaiio ?on? //
A?niee Ee?anueeiai oi?aa?neoaoo, Na?.: o?c.-iao. iaoee. – 1998. – Aei.3.
– N. 96-105.

5. Ulitko I.A. Mathematical theory of the fork-type wave gyroscope //
Proc. 1995 IEEE International Frequency Control Symposium. –San
Francisco (USA). – 1995. – P. 786-793.

6. Oeeoei E.A. Iiaeoeyoeey aa?iiie/aneeo aaaoueo aiei a ?aaiiia?ii
a?auathuaeny oi?oaie n?aaea // O?oaeu ?? Iaaeaeoia?iaeiie eiioa?aioeee:
“Nia?aiaiiua i?iaeaiu iaoaieee nieioiie n?aaeu”. – O.1. –
?inoia-ia-Aeiio : ii “Eieaa”. – 1996. – N. 137-141.

7. Ulitko I.A. Resonant properties of the tuning fork wave gyroscope //
Proc. 11-th All-European Conference On Solid-State Transducers
(EUROSENSORS-IX). – Vol. 2. – Warsaw (Poland): Sensor Lab Sp. z.o.o. –
1997. – P. 1073-1076.

8. Oe?oei ?.A. Aa?iii?/i? eieeaaiiy oa iioe?aiiy oaeeue a i?oaeiiio oa??
? i?ai?inoi??, ye? ciaoiaeyoueny a iaa?oiaiio ?on? // Oace aeiiia?aeae
I?aeia?iaeii? iaoe. eiio. “No/ani? i?iaeaie iaoai?ee ? iaoaiaoeee”. –
Euea?a: ?IIII IAI Oe?a?ie. – 1998. – N. 70.

AIIOAOe??

Oe?oei ?.A. Eieeaaiiy oa oaee? a i?oaeieo o?eao, ye? cae?eniththoue
iaa?oiaee ?oo. – ?oeiien.

Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa
o?ceei-iaoaiaoe/ieo iaoe ca niaoe?aeuei?noth 01.02.04– iaoai?ea
aeaoi?i?aiiai oaa?aeiai o?ea.Ee?anueeee oi?aa?neoao ?iai? Oa?ana
Oaa/aiea, Ee?a, 1999.

A aeena?oaoe?? aea/athoueny caeiiii??iino? iioe?aiiy ieineeo
aa?iii?/ieo a?aeo/eo oaeeue a iaiaiaaeaiiio i?oaeiiio na?aaeiaeu?, ui
ciaoiaeeoueny a ??aiii??iiio iaa?oiaiio ?on?. Ia a?aei?io a?ae eeane/ii?
aeeiai?/ii? oai??? i?oaeiino? anoaiiaeaii oaeo ?nioaaiiy o?ueio oei?a
oaeeue, ui iioe?ththoueny c aeenia?n??th, oa aeine?aeaeaii caeiie oaei?
aeenia?n??, iaoiiaeaii? neeaie ?ia?oe?? iaa?oiaiai ?ooo. Io?eiai?
ooiaeaiaioaeuei? ?ica’ycee eeaneo?eothoueny ye eaace-iicaeiaaei? oa
eaace-iiia?a/i? oaee?. Aeoiaey/e c ?acoeueoao?a aeey iaiaiaaeaiiai o?ea,
iiaoaeiaaii ?ica’ycee noaoe?iia?ieo oa ianoaoe?iia?ieo a?aie/ieo caaea/
aeey i?oaeiiai oa?o ? i?ai?inoi?o, ye? iaa?oathoueny iaaeiei in?, ui
eaaeeoue a ieiuei? a?aieoe? (i?ai?ino??) aai a na?aaeeii?e ieiuei?
(oa?), a oaeiae aea/aii caeiiii??iino? iioe?aiiy noaoe?iia?ieo
iiaa?oiaaeo oaeeue ?aeay. Cai?iaaaeaeaii caieiaio iaoaiaoe/io iiaeaeue
oaa?aeio?eueiiai i’?ciea?ai?/iiai oaeeueiaiai a??ineiia eaia?oiiiiai
oeio, oa aea/aii eiai iniiai? aeaeo?iiaoai?/i? ?iai/? oa?aeoa?enoeee.
Iinoaiiaea an?o aeeeaaeaieo caaea/ cae?enith?oueny ia iniia? caaaeueii?
oai??? i?inoi?iaiai ?ooo i?oaeieo o?e.

Eeth/ia? neiaa: i?inoi?iaee ?oo i?oaeiiai o?ea, aeeiai?/ia oai??y
i?oaeiino?, aa?iii?/i? a?aeo/? oaee?, aeenia?n?y oaeeue, iiaa?oiaaa
oaeey ?aeay, i’?ciea?ai?/iee oaa?aeio?eueiee oaeeueiaee a??ineii.

Ulitko I.A. Waves and vibrations in rotating elastic solids. –
Manuscript.

Dissertation for Candidate of Sciences Degree in Physics and
Mathematics by the specialty 01.02.04 – mechanics of deformable solids.
Taras Shevchenko Kyiv University, Kyiv, 1999.

Dissertation is devoted to wave propagation phenomena in steadily
rotating elastic solids with basic consideration of plane harmonic
travelling waves in the unbounded medium. Quite opposite to classical
elastody-namics, the fact of existence of three types of dispersive
waves in rotating solid has been established. Regularities of the
dispersion originated by inertia forces are examined. Fundamental
solutions of such kind are classified as quasi-longitudinal and
quasi-transverse waves. Being grounded on results for wave propagation
in unbounded solid, we have build solutions of boundary valued problems
for harmonic and non-stationar wave motion of an elastic layer and
half-space which rotate about the axes lying in the boundary plane
(half-space) or in the middle-plane (layer). Some peculiarities in the
propagation of Rayleigh harmonic surface waves are investigated. As an
application of wave propagation theory, closed mathematical model of a
piezoceramic solid-state wave gyroscope of a tuning-fork type is
suggested, and main electromechanical operating characteristics of such
gyro-scope are examined. Statements of all these problems are performed
on the ground of general theory of spatial motion of elastic solids.

Key words: spatial motion of elastic solid, elastodynamics, harmonic
traveling waves, surface Rayleigh wave, piezoceramic solid-state wave
gyroscope. Oeeoei E.A. Eieaaaiey e aieiu a oi?oaeo oaeao, niaa?oathueo
a?auaoaeueiia aeaeaeaiea. – ?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa
oeceei-iaoaiaoe/aneeo iaoe ii niaoeeaeueiinoe 01.02.04 – iaoaieea
aeaoi?ie?oaiiai oaa?aeiai oaea. Eeaaneee oieaa?neoao eiaie Oa?ana
Oaa/aiei, Eeaa, 1999.

Aeenna?oaoeeiiiay ?aaioa iinayuaia eco/aieth caeiiiia?iinoae
?ani?ino?aiaiey aiei e noaoeeiia?iuo eieaaaiee a oi?oaeo oaa?aeuo oaeao,
niaa?oathueo a?auaoaeueiia aeaeaeaiea, a oaeaea enneaaeiaaieth, ia
iniiaaiee aiaeeca yoeo caeiiiia?iinoae, noaoeeiia?iuo ?aaeeiia eieaaaiee
?aciiaoi?ia aieiiauo ae?ineiiia. Eae e a eeanne/aneie aeeiaie/aneie
oai?ee oi?oainoe, aaciaie caeanue yaeyaony caaea/a i ?ani?ino?aiaiee
ieineeo aa?iiie/aneeo aaaoueo aiei a ?aaiiia?ii a?auathuaeny
iaia?aie/aiiie oi?oaie n?aaea. I?e ?aoaiee yoie caaea/e onoaiiaeai oaeo
nouanoaiaaiey o?ao oeiia aeenia?ae?othueo aiei e enneaaeiaaiu caeiiu
oaeie aeenia?nee, iaoneiaeaiiie neeaie eia?oeee a?auaoaeueiiai
aeaeaeaiey. Iaeaeaii, /oi iaeaaeathuea aeenia?neae aieiu eiatho, a
caaeneiinoe io iai?aaeaiey ?ani?ino?aiaiey, eeai e?oaiaoth, eeai
yeeeioe/aneoth iiey?ecaoeeth a ieineinoe o?iioa aieiu. Enoiaey ec
iaeiia?aiaiiiai aiaeeca eeiaiaoe/aneeo e oaciauo oa?aeoa?enoee
iieo/aiiua ooiaeaiaioaeueiua ?aoaiey eeanneoeoee?othony eae
eaace-i?iaeieueiua e eaace-iiia?a/iua aieiu. Eco/ai aii?in i
noia?iiceoeee aeenia?ae?othueo aiei iaeeiaeiaie aiieeooaeu e aeeeiu,
?ani?ino?aiythueony aaeieue ine a?auaiey oaea. Onoaiiaeaii, /oi
neiaeaiea aaaoueo eaace-iiia?a/iuo aiei eiaao ?acoeueoaoii ia noiy/oth,
a iiaeoee?iaaiioth aaaouoth aieio, n /anoioie iiaeoeyoeee, ?aaiie
oaeiaie nei?inoe a?auaiey oaea.

Enoiaey ec ?acoeueoaoia aeey iaia?aie/aiiiai oaea, iino?iaiu ?aoaiey
noaoeeiia?iuo e ianoaoeeiia?iuo e?aaauo caaea/ aeey oi?oaiai neiy e
iieoi?ino?ainoaa, eioi?ua a?auathony aie?oa ine, eaaeauae a ieineinoe
a?aieoeu (iieoi?ino?ainoai) eee a n?aaeeiiie ieineinoe (neie), a oaeaea
eco/aiu caeiiiia?iinoe ?ani?ino?aiaiey noaoeeiia?iuo iiaa?oiinoiuo aiei
?yeay. Iaeaeaii, /oi a oneiaeyo ?aaiiia?ii ?ani?aaeaeaiiiai,
iaeii?iaeiiai ii eii?aeeiaoai a?aie/iuo iiaa?oiinoae, ii?iaeueiiai
aa?iiie/aneiai iaa?oaeaiey aieiiaua iiey oa?aeoa?ecothony neiaeiie
noia?iiceoeeae eaace-i?iaeieueiuo e eaace-iiia?a/ieo aiei. Eae aeey
neiy, oae e aeey iieoi?ino?ainoaa iiae?iaii eco/aiu neo/ae ioiineoaeueii
iaeuo oaeiauo nei?inoae a?auaiey e nei?inoae a?auaiey, niecia?eiuo n
/anoioie aa?iiie/aneeo aiei. A noaoeeiia?iie caaea/a aeey neiy iaeaeaii
?anuaieaiea niaeo?ia nianoaaiiuo /anoio eieaaaiee e iino?iaiu
caaeneiinoe yoeo /anoio io oaeiaie nei?inoe a?auaiey. A /anoiinoe,
onoaiiaeaii, /oi i?e ii?aaeaeaiiuo cia/aieyo oaeiaie nei?inoe eae a
neia, oae e a iieoi?ino?ainoaa iiaoo ?ani?ino?aiyony, iiieii
aa?iiie/aneeo, yeniiiaioeeaeueiua aieiu. Yoio ?acoeueoao iai?yioth
naycai n aeaoaeueii eco/aiiui yaeaieai aiiiaeueiie aeenia?nee aiei ai
a?auathuainy iaia?aie/aiiii oaea. Iin?aaenoaii iaoiaea eiia/iuo
eioaa?aeueiuo i?aia?aciaaiee e aai iaiauaiey ia iieoaaneiia/iue eioa?aae
(iaoiae Noiena-A?eiaa?aa) iino?iaiu oi/iua ?aoaiey caaea/ eiioeueniiai
iaa?oaeaiey ii?iaeueiuie iai?yaeaieyie eae aeey oi?oaiai neiy, oae e
aeey iieoi?ino?ainoaa. Iaeaeaii, /oi eiioeuen naeaoey iinoiyiiie
eioaineaiinoe i?e oaeaeaiee o?iioa aieiu io iiaa?oiinoe iieoi?ino?ainoaa
(neiy) eciaiyao oi?io: ca n/ao a?auaoaeueiiai aeaeaeaiey ii oaea ia
yaeyaony i?yiioaieueiui, ii eneaaeaaony oae, /oi aai aiieeooaea ca
o?iioii aieiu iai?a?uaii oiaiueoaaony. Aeaaiaea?y naycaiiinoe aieiiauo
aeaeaeaiee ii?iaeueiua iai?yaeaiey nii?iaiaeaeathony eanaoaeueiuie
iai?yaeaieyie, eioaineaiinoue eioi?uo aic?anoaao ca o?iioii aieiu. A
neo/aa neiy iaaethaeaaony ia?aoiuo ?acoeueoao: aiieeooaea io?aaeaiiiai
eiioeuena ?anoyaeaiey ca o?iioii aieiu aic?anoaao, a aiieeooaea
io?aaeaiiiai eiioeuena eneaaeaiey oiaiueoaaony. Iieo/aii ?aoaiea aeey
aa?iiie/aneie aaaouae aieiu ?yeay ia naiaiaeiie iiaa?oiinoe
a?auathuaainy iieoi?ino?ainoaa. Onoaiiaeaiu oneiaey nouanoaiaaiey aiei
yoiai oeia e eco/aiu eeiaiaoe/aneea caeiiiia?iinoe aeaeaeaiey /anoe/ae
n?aaeu a aieia aeey n?aaieoaeueii iaeuo oaeiauo nei?inoae a?auaiey.

I?aaeeiaeaia caieiooay iaoaiaoe/aneay iiaeaeue oaa?aeioaeueiiai
iuaciea?aie/aneiai aieiiaiai ae?ineiia eaia?oiiiiai oeia e eco/aiu aai
aeaaiua yeaeo?iiaoaie/aneea ?aai/ea oa?aeoa?enoeee. I?iaaaeaii
iineaaeiaaoaeueiia eceiaeaiea oai?ee eaia?oiiiiai ae?ineiia, eae
neiaeiie o?aoyeaiaioiie nenoaiu, ninoiyuae ec yeaeo?iiaoaie/anee ia
aeoeaiiai iieoeieueoea e aeii?oiuo iuaciea?aie/aneeo noa?aeiae. A
ioee/ea io i?aaeuaeoueo ?aaio ii yoie oaia, aaoi?ii eniieuecoaony oai?ey
naycaiiuo yeaeo?ioi?oaeo eieaaaiee aeii?oiuo yeaiaioia. Eco/aiu
?aciiainiua naienoaa oaeiai aieiiaiai ae?ineiia: iaeaeaii yaeaiea
?anuaieaiey /anoio eieaaaiee eaia?oiiiiai ?aciiaoi?a.. Iino?iaiu ?aoaiey
aeey i?iaeaia oi?oeia aaoaae eaia?oiia eae a aeey naiaiaeiuo oae e aeey
auioaeaeaiiuo eieaaaiee. ?ane?uoa iieiay aiaeiaey iaaeaeo
ae?ineiie/aneeie yooaeoaie a eieaaaieyo eaia?oiiiiai ?aciiaoi?a e
caeiiiia?iinoyie ?ani?ino?aiaiey aa?iiie/aneeo aiei ai a?auathuaeny
oi?oaie n?aaea.

Iinoaiiaea anao eceiaeaiiuo a aeenna?oaoeee caaea/ inouanoaeyaony ia
iniiaaiee iauae oai?ee i?ino?ainoaaiiiai aeaeaeaiey oi?oaeo oae.

Eeth/aaua neiaa: i?ino?ainoaaiiia aeaeaeaiea oi?oaiai oaea,
aeeiaie/aneay oai?ey oi?oainoe, aa?iiie/aneea aaaouea aieiu, aeenia?ney
aiei, iiaa?oiinoiay aieia ?yeay, iuaciea?aie/aneee oaa?aeioaeueiue
aieiiaie ae?ineii.

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